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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 651 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −4/20 (c) 1/5 (d) −1/5
  2. 2.What is the additive inverse of 5/9? (a) −5/9 (b) −9/5 (c) 9/5 (d) 5/9
  3. 3.Is −8/6 positive or negative? (a) Negative (b) Positive
  4. 4.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −5/7 (d) −15/21
  5. 5.What is the reciprocal (multiplicative inverse) of −2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  6. 6.Write −6/16 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −6/16 (c) 3/8 (d) −8/3
  7. 7.Is 3/7 positive or negative? (a) Positive (b) Negative
  8. 8.What is 1/7 + (−1/4)? (a) −3/28 (b) 0 (c) 11/28 (d) 3/28
  9. 9.What is (−2/5) − (−3/4)? (a) −7/20 (b) −23/20 (c) 7/20 (d) 1/9
  10. 10.Is −5/3 positive or negative? (a) Positive (b) Negative
  11. 11.Is −9/9 positive or negative? (a) Positive (b) Negative
  12. 12.Which is smaller: −1/6 or 1/2? (a) −1/6 (b) 1/2
  13. 13.What is (−5/9) + 1/9? (a) −4/9 (b) −2/9 (c) 4/9 (d) −2/3
  14. 14.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  15. 15.Which is smaller: −2/3 or −5/6? (a) −5/6 (b) −2/3
  16. 16.What is (−2/5) − (−1/9)? (a) −1/14 (b) 13/45 (c) −13/45 (d) −23/45
  17. 17.What is (−1/6) + 7/9? (a) −11/18 (b) 2/5 (c) 11/18 (d) −17/18
  18. 18.What is (−3/8) − 3/5? (a) −39/40 (b) 39/40 (c) 9/40 (d) −6/13
  19. 19.What is (−4/5) + 5/7? (a) 1/12 (b) 3/35 (c) −53/35 (d) −3/35
  20. 20.What is the additive inverse of −2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  21. 21.What is 1/2 + (−7/9)? (a) −5/18 (b) −6/11 (c) 5/18 (d) 23/18
  22. 22.Which is bigger: −2/5 or −1/9? (a) −2/5 (b) −1/9
  23. 23.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −4/10 (b) −5/2 (c) −2/5 (d) 2/5
  24. 24.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −9/12
  25. 25.What is (−5/9) + (−1/6)? (a) −2/5 (b) 13/18 (c) −7/18 (d) −13/18
  26. 26.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  27. 27.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3
  28. 28.Is −3/(−7) positive or negative? (a) Negative (b) Positive
  29. 29.What is (−7/8) + 4/7? (a) −1/5 (b) −17/56 (c) −81/56 (d) 17/56
  30. 30.Which is bigger: −3/7 or −1/3? (a) −3/7 (b) −1/3
  31. 31.What is (−3/5) − (−5/9)? (a) 1/7 (b) −52/45 (c) 2/45 (d) −2/45
  32. 32.What is the additive inverse of −1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  33. 33.What is 3/5 + (−1/9)? (a) 1/7 (b) 22/45 (c) −22/45 (d) 32/45
  34. 34.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  35. 35.What is 2/5 − (−4/9)? (a) −2/45 (b) 38/45 (c) −38/45 (d) 3/7
  36. 36.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  37. 37.What is (−5/7) + 2/5? (a) −1/4 (b) −11/35 (c) 11/35 (d) −39/35
  38. 38.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −3/27
  39. 39.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −2/8 (c) 1/4 (d) −4/1
  40. 40.What is 1/9 − (−1/7)? (a) −16/63 (b) 1/8 (c) −2/63 (d) 16/63

Answer key

  1. −1/5
  2. −5/9
  3. Negative
  4. −5/7
  5. −3/2
  6. −3/8
  7. Positive
  8. −3/28
  9. 7/20
  10. Negative
  11. Negative
  12. −1/6
  13. −4/9
  14. −5/4
  15. −5/6
  16. −13/45
  17. 11/18
  18. −39/40
  19. −3/35
  20. 2/7
  21. −5/18
  22. −1/9
  23. −2/5
  24. −3/4
  25. −13/18
  26. Positive
  27. 4/3
  28. Positive
  29. −17/56
  30. −1/3
  31. −2/45
  32. 1/3
  33. 22/45
  34. 7
  35. 38/45
  36. −5/3
  37. −11/35
  38. −1/9
  39. −1/4
  40. 16/63

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